Find the x and y Intercepts f(x)=-(x-5)

$f (x) = - (x - 5)$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = - (x - 5)$

Solve the equation.

Rewrite the equation as $- (x - 5) = 0$ .

$- (x - 5) = 0$

Simplify $- (x - 5)$ .

Apply the distributive property.

$- x - - 5 = 0$

Multiply $- 1$ by $- 5$ .

$- x + 5 = 0$

Subtract $5$ from both sides of the equation.

$- x = - 5$

Divide each term in $- x = - 5$ by $- 1$ and simplify.

Divide each term in $- x = - 5$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 5}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 1}$

Simplify the right side.

Divide $- 5$ by $- 1$ .

$x = 5$

x-intercept(s) in point form.

x-intercept(s): $(5, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = - ((0) - 5)$

Solve the equation.

Remove parentheses.

$y = - (0 - 5)$

Remove parentheses.

$y = - ((0) - 5)$

Simplify $- ((0) - 5)$ .

Subtract $5$ from $0$ .

$y = - - 5$

Multiply $- 1$ by $- 5$ .

$y = 5$

y-intercept(s) in point form.

y-intercept(s): $(0, 5)$

List the intersections.

x-intercept(s): $(5, 0)$

y-intercept(s): $(0, 5)$